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Finding the Fourth Proportional to 9,604, 14,389.62 and 6,816.88

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Solution

The fourth proportional to 9,604, 14,389.62 and 6,816.88 is: 10,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604 : 14,389.62 = 6,816.88 : x
  2. Step 2: Convert to fraction form
    9,604/14,389.62 = 6,816.88/x
  3. Step 3: Cross multiply
    9,604x = 14,389.62 × 6,816.88
  4. Step 4: Simplify right side
    9,604x = 98,092,312.79
  5. Step 5: Solve for x
    x = 98,092,312.79/9,604
  6. Step 6: Final answer
    x = 10,213.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.